Fig. 3: Generating quadrilateral patterns.
From: Algorithmic design of origami mechanisms and tessellations
a Sample crease pattern graph. Selected relevant dihedral and sector angles are marked. b Application of the quadrilateral-closing operation. c Adding layers to a pattern (the shown example procedure generates the Miura-Ori pattern) by expanding vertices and applying the quadrilateral-closing operation. d–g Crease pattern graphs and folded configurations various patterns: d Yoshimura’s pattern, e Huffman’s grid (auxiliary vertices are shown), f Square twist pattern, and g Waterbomb pattern. h Crease pattern graph of the extruded strip with constant and varying layer heights. i Crease pattern graph and folded configuration of a sample pattern obtained by irregular extrusion of strip.
